SOLUTION: 5(x-4)-1=-7x+3 what does x equal?

Question 638056: 5(x-4)-1=-7x+3 what does x equal?
Found 2 solutions by solver91311, josh_jordan:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
2
Answer by josh_jordan(263) (Show Source): You can put this solution on YOUR website!
To solve this equation, use the distributive property to multiply 5 by (x-4):
5(x-4) = 5x - 20
You will then have:
5x - 20 - 1 = -7x + 3
Combine -20 and -1 by adding:
5x - 21 = -7x + 3
Now, you want to get x all by itself, so to do that, subtract 5x from both sides of the equal sign:
-5x + 5x - 21 = -7x - 5x + 3
Combine like terms on both sides:
-21 = -12x + 3
We still want to get x all by itself, so we will subtract 3 to both sides of our equation:
-3 - 21 = -12x + 3 - 3
Combine like terms:
-24 = -12x
To get the x by itself once and for all, divide both sides of the equation by -12:
-24/-12 = -12x / -12
2 = x
So, x = 2
To check this answer, just substitute 2 for x in your equation:
5(2-4)-1=-7(2)+3
5(-2)-1=-14+3
-10 - 1 = -11
-11 = -11
Since both sides of the equal sign are the same, x = 2 works, and is our final answer

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